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A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
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A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 314
- Erscheinungstermin: 21. Dezember 2017
- Englisch
- Abmessung: 235mm x 157mm x 21mm
- Gewicht: 610g
- ISBN-13: 9781107088016
- ISBN-10: 1107088011
- Artikelnr.: 48579770
- Verlag: Cambridge University Press
- Seitenzahl: 314
- Erscheinungstermin: 21. Dezember 2017
- Englisch
- Abmessung: 235mm x 157mm x 21mm
- Gewicht: 610g
- ISBN-13: 9781107088016
- ISBN-10: 1107088011
- Artikelnr.: 48579770
Günter Last is Professor of Stochastics at the Karlsruhe Institute of Technology, Germany. He is a distinguished probabilist with particular expertise in stochastic geometry, point processes, and random measures. He coauthored a research monograph on marked point processes on the line as well as two textbooks on general mathematics. He has given many invited talks on his research worldwide.
Preface
List of symbols
1. Poisson and other discrete distributions
2. Point processes
3. Poisson processes
4. The Mecke equation and factorial measures
5. Mappings, markings and thinnings
6. Characterisations of the Poisson process
7. Poisson processes on the real line
8. Stationary point processes
9. The Palm distribution
10. Extra heads and balanced allocations
11. Stable allocations
12. Poisson integrals
13. Random measures and Cox processes
14. Permanental processes
15. Compound Poisson processes
16. The Boolean model and the Gilbert graph
17. The Boolean model with general grains
18. Fock space and chaos expansion
19. Perturbation analysis
20. Covariance identities
21. Normal approximation
22. Normal approximation in the Boolean model
Appendix A. Some measure theory
Appendix B. Some probability theory
Appendix C. Historical notes
References
Index.
List of symbols
1. Poisson and other discrete distributions
2. Point processes
3. Poisson processes
4. The Mecke equation and factorial measures
5. Mappings, markings and thinnings
6. Characterisations of the Poisson process
7. Poisson processes on the real line
8. Stationary point processes
9. The Palm distribution
10. Extra heads and balanced allocations
11. Stable allocations
12. Poisson integrals
13. Random measures and Cox processes
14. Permanental processes
15. Compound Poisson processes
16. The Boolean model and the Gilbert graph
17. The Boolean model with general grains
18. Fock space and chaos expansion
19. Perturbation analysis
20. Covariance identities
21. Normal approximation
22. Normal approximation in the Boolean model
Appendix A. Some measure theory
Appendix B. Some probability theory
Appendix C. Historical notes
References
Index.
Preface
List of symbols
1. Poisson and other discrete distributions
2. Point processes
3. Poisson processes
4. The Mecke equation and factorial measures
5. Mappings, markings and thinnings
6. Characterisations of the Poisson process
7. Poisson processes on the real line
8. Stationary point processes
9. The Palm distribution
10. Extra heads and balanced allocations
11. Stable allocations
12. Poisson integrals
13. Random measures and Cox processes
14. Permanental processes
15. Compound Poisson processes
16. The Boolean model and the Gilbert graph
17. The Boolean model with general grains
18. Fock space and chaos expansion
19. Perturbation analysis
20. Covariance identities
21. Normal approximation
22. Normal approximation in the Boolean model
Appendix A. Some measure theory
Appendix B. Some probability theory
Appendix C. Historical notes
References
Index.
List of symbols
1. Poisson and other discrete distributions
2. Point processes
3. Poisson processes
4. The Mecke equation and factorial measures
5. Mappings, markings and thinnings
6. Characterisations of the Poisson process
7. Poisson processes on the real line
8. Stationary point processes
9. The Palm distribution
10. Extra heads and balanced allocations
11. Stable allocations
12. Poisson integrals
13. Random measures and Cox processes
14. Permanental processes
15. Compound Poisson processes
16. The Boolean model and the Gilbert graph
17. The Boolean model with general grains
18. Fock space and chaos expansion
19. Perturbation analysis
20. Covariance identities
21. Normal approximation
22. Normal approximation in the Boolean model
Appendix A. Some measure theory
Appendix B. Some probability theory
Appendix C. Historical notes
References
Index.